Dominic Welsh

Best Publications

• GRAPHS AND HYPERGRAPHS

  Unknown

  1055
  Citations

• On the computational complexity of the Jones and Tutte polynomials

  Unknown

  480
  Citations

• Percolation probabilities on the square lattice

  Paul Douglas Seymour;D. J.A. Welsh

  377
  Citations

• Probability: An Introduction

  Geoffrey Grimmett;D. J. A Welsh

  337
  Citations

• Complexity: Knots, Colourings and Counting

  Unknown

  317
  Citations

• First-Passage Percolation, Subadditive Processes, Stochastic Networks, and Generalized Renewal Theory

  Unknown

  269
  Citations

• FURTHER RESULTS ON THE RATE OF CONVERGENCE TO THE CONNECTIVE CONSTANT OF THE HYPERCUBICAL LATTICE

  Unknown

  213
  Citations

• Random planar graphs

  Colin McDiarmid;Angelika Steger;Dominic J. A. Welsh

  185
  Citations

• Monte Carlo Estimates of Percolation Probabilities for Various Lattices

  Unknown

  180
  Citations

• Finite particle systems and infection models

  Peter Donnelly;Dominic Welsh

  129
  Citations

• A weighted graph polynomial from chromatic invariants of knots

  Unknown

  109
  Citations

• The Potts model and the Tutte polynomial

  Unknown

  94
  Citations

• On the asymptotic proportion of connected matroids

  Unknown

  89
  Citations

• The Tutte polynomial

  Unknown

  83
  Citations

• Polynomial time randomized approximation schemes for Tutte–Gröthendieck invariants: The dense case

  Noga Alon;Alan Frieze;Dominic Welsh

  77
  Citations

• The Computational Complexity of the Tutte Plane: the Bipartite Case

  Unknown

  77
  Citations

• Random Graphs from Planar and Other Addable Classes

  Colin McDiarmid;Angelika Steger;Dominic J. A. Welsh

  74
  Citations

• Counting Phylogenetic Networks

  Colin McDiarmid;Charles Semple;Dominic Welsh

  68
  Citations

• Combinatorial applications of an inequality from statistical mechanics

  Unknown

  62
  Citations

• Percolation theory and its ramifications

  Unknown

  59
  Citations